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Finding the Fourth Proportional to 598.95, 826.85 and 378.24

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Solution

The fourth proportional to 598.95, 826.85 and 378.24 is: 522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.95 : 826.85 = 378.24 : x
  2. Step 2: Convert to fraction form
    598.95/826.85 = 378.24/x
  3. Step 3: Cross multiply
    598.95x = 826.85 × 378.24
  4. Step 4: Simplify right side
    598.95x = 312,745.85
  5. Step 5: Solve for x
    x = 312,745.85/598.95
  6. Step 6: Final answer
    x = 522.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.